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Finding the Fourth Proportional to 109,412.96, 164,427.20 and 65,047.68

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Solution

The fourth proportional to 109,412.96, 164,427.20 and 65,047.68 is: 97,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.96 : 164,427.20 = 65,047.68 : x
  2. Step 2: Convert to fraction form
    109,412.96/164,427.20 = 65,047.68/x
  3. Step 3: Cross multiply
    109,412.96x = 164,427.20 × 65,047.68
  4. Step 4: Simplify right side
    109,412.96x = 10,695,607,888.90
  5. Step 5: Solve for x
    x = 10,695,607,888.90/109,412.96
  6. Step 6: Final answer
    x = 97,754.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.